513020736 has 224 divisors, whose sum is σ = 1592437760. Its totient is φ = 161740800.

The previous prime is 513020731. The next prime is 513020737. The reversal of 513020736 is 637020315.

It is a happy number.

It is a super-3 number, since 3×513020736³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513020731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3267570 + ... + 3267726.

Almost surely, 2^513020736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796218880).

513020736 is an abundant number, since it is smaller than the sum of its proper divisors (1079417024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513020736 is a wasteful number, since it uses less digits than its factorization.

513020736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 513020736 is about 22649.9610595692. The cubic root of 513020736 is about 800.5312804316.

The spelling of 513020736 in words is "five hundred thirteen million, twenty thousand, seven hundred thirty-six".